28846400 has 126 divisors (see below), whose sum is σ = 78543150. Its totient is φ = 10419200.

The previous prime is 28846373. The next prime is 28846403. The reversal of 28846400 is 464882.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 28815424 = 176^2 + 5368^2 .

It is a super-2 number, since 2×28846400² = 1664229585920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28846403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193526 + ... + 193674.

Almost surely, 2^28846400 is an apocalyptic number.

28846400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39271575).

28846400 is an abundant number, since it is smaller than the sum of its proper divisors (49696750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28846400 is a wasteful number, since it uses less digits than its factorization.

28846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 28846400 is about 5370.8844709228. The cubic root of 28846400 is about 306.6882992511.

The spelling of 28846400 in words is "twenty-eight million, eight hundred forty-six thousand, four hundred".